Summary

The modern power grid is facing major challenges in the transition to a low-carbon energy sector. The growing energy demand and environmental concerns require carefully revisiting how electricity is generated, transmitted, and consumed, with an eye to the integration of renewable energy sources. The envisioned smart grid is expected to address such issues by introducing advanced information, control, and communication technologies into the energy infrastructure. In this context, demand-side management (DSM) makes the end users responsible for improving the efficiency, reliability and sustainability of the power system: this opens up unprecedented possibilities for optimizing the energy usage and cost at different levels of the network. The design of DSM techniques has been extensively discussed in the literature in the last decade, although the performance of these methods has been scarcely investigated from the analytical point of view. In this thesis, we consider the demand-side of the electrical network as a multiuser system composed of coupled active consumers with DSM capabilities and we pro-pose a general framework for analyzing and solving demand-side management problems. Since centralized solution methods are too demanding in most practical applications due to their in-herent computational complexity and communication overhead, we focus on developing efficien